" The value of "a,b,c" when "[[0,2b,c],[a,b,-c],[a,-b,c]]" is orthogonal,are "

Find the values of a,b and c if the matrix A={:[(0,2b,c),(a,b,-c),(a,-b,c)] satisfies A'A = I.

The value of |(a-b,b+c,a),(b-a,c+a,b),(c-a,a+b,c)| is

The value of |(a-b,b+c,a),(b-a,c+a,b),(c-a,a+b,c)| is

Let A = [{:(0, 2b , c),(a, b, -c),(a, -b, c):}] be an orthogonal matrix, then the values of a, b, c, are related with

If [(0,2b,c),(a,b,-c),(a,-b,c)] is orthogonal matrix, then the value of |abc| is equal to (where |*| represents modulus function)

If [(0,2b,c),(a,b,-c),(a,-b,c)] is orthogonal matrix, then the value of |abc| is equal to (where |*| represents modulus function)

Let A= [[a,b,c],[b,c,a],[c,a,b]] is an orthogonal matrix and abc = lambda (lt0). The value a^(2) b^(2) + b^(2) c^(2) + c^(2) a^(2) , is

Let A= [[a,b,c],[b,c,a],[c,a,b]] is an orthogonal matrix and abc = lambda (lt0). The value a^(2) b^(2) + b^(2) c^(2) + c^(2) a^(2) , is